Abstract
The majority of hypotheses suggested to explain the human immunodeficiency virus (HIV) progression explains the particularities of the disease by a very high mutability and evolvability of the virus. For HIV, several mechanisms of mutation are possible, and it is reasonable to assume that a mechanistic mathematical model of HIV evolution reflect these mechanisms. In this contribution, we formulate three different mathematical models of within-host HIV evolution that corresponds to three different virus mutation mechanisms. Simulations demonstrate that, for realistic rates of evolution, either of the three models leads to a very similar (and for some models to identical) outcome and, hence, only one of the mechanisms (presumably, the simplest one) can be used in simulations.
A. Korobeinikov is supported by Ministerio de Economía y Competitividad of Spain via grant MTM2015-71509-C2-1-R.
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Riera-Escandell, A.M., Korobeinikov, A. (2019). Mathematical Modelling of HIV Within-Host Evolution. In: Korobeinikov, A., Caubergh, M., Lázaro, T., Sardanyés, J. (eds) Extended Abstracts Spring 2018. Trends in Mathematics(), vol 11. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-25261-8_5
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DOI: https://doi.org/10.1007/978-3-030-25261-8_5
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